# Deformation Theory and Quantum Groups with Applications to Mathematical Physics

### About this Title

**Murray Gerstenhaber** and **Jim Stasheff**, Editors

Publication: Contemporary Mathematics

Publication Year
1992: Volume 134

ISBNs: 978-0-8218-5141-8 (print); 978-0-8218-7725-8 (online)

DOI: http://dx.doi.org/10.1090/conm/134

MathSciNet review: 1187275

### Table of Contents

**Front/Back Matter**

**Articles**

- Miriam Cohen – Hopf algebra actions—revisited [MR 1187276]
- Paolo Cotta-Ramusino and Maurizio Rinaldi – Link-diagrams, Yang-Baxter equations and quantum holonomy [MR 1187277]
- Louis Crane – Duality and topology of $3$-manifolds [MR 1187278]
- Murray Gerstenhaber and Samuel D. Schack – Algebras, bialgebras, quantum groups, and algebraic deformations [MR 1187279]
- José M. Gracia-Bondía – Generalized Moyal quantization on homogeneous symplectic spaces [MR 1187280]
- Robert Grossman and David Radford – A simple construction of bialgebra deformations [MR 1187281]
- G. F. Helminck – Integrable deformations of meromorphic equations on ${\bf P}^1({\bf C})$ [MR 1187282]
- N. H. Jing – Quantum groups with two parameters [MR 1187283]
- H. T. Koelink – Quantum group-theoretic proof of the addition formula for continuous $q$-Legendre polynomials [MR 1187284]
- H. T. Koelink and T. H. Koornwinder – $q$-special functions, a tutorial [MR 1187285]
- T. H. Koornwinder – $q$-special functions and their occurrence in quantum groups [MR 1187286]
- V. Lakshmibai and N. Reshetikhin – Quantum flag and Schubert schemes [MR 1187287]
- Larry A. Lambe – Homological perturbation theory, Hochschild homology, and formal groups [MR 1187288]
- Shahn Majid – Tannaka-Kreĭn theorem for quasi-Hopf algebras and other results [MR 1187289]
- Susan Montgomery – Simple Smash Products
- Józef H. Przytycki – Quantum group of links in a handlebody [MR 1187291]
- Albert Jeu-Liang Sheu – Quantum Poisson ${\rm SU}(2)$ and quantum Poisson spheres [MR 1187292]
- Steven Shnider – Deformation cohomology for bialgebras and quasi-bialgebras [MR 1187293]
- Jim Stasheff – Drinfel′d’s quasi-Hopf algebras and beyond [MR 1187294]
- Mitsuhiro Takeuchi – Hopf algebra techniques applied to the quantum group $U_q({\rm sl}(2))$ [MR 1187295]
- David N. Yetter – Framed tangles and a theorem of Deligne on braided deformations of Tannakian categories [MR 1187296]
- Cosmas Zachos – Elementary paradigms of quantum algebras [MR 1187297]